Closed-loop dynamic shape control of a flexible beam

Shawn Edward Burke; James E. Hubbard Jr.

doi:10.1117/12.21515

1 October 1990 Closed-loop dynamic shape control of a flexible beam

Shawn Edward Burke, James E. Hubbard Jr.

Proceedings Volume 1303, Advances in Optical Structure Systems; (1990) https://doi.org/10.1117/12.21515
Event: 1990 Technical Symposium on Optics, Electro-Optics, and Sensors, 1990, Orlando, FL, United States

Abstract

An experimental implementation of a new distributed parameter shape control design methodology is presented. The technique is based upon the input/output representation of distributed parameter systems in a spatially- and temporallytransformed frequency space. The analysis is specialized to shape control through the introduction of generalized spatial transforms of the plant response which explicitly parameterize the shape control task. Experiments are summarized wherein a 4Oin pinned-pinned steel beams shape is controlled, in the presence of quasi-static and resonant disturbances, over a bandlimited set of four sinusoidal shape basis functions at a closed-loop temporal bandwidth of 2Hz, using distributed piezoelectric actuators. Temporal compensation is provided by digitally-implemented LQG/LTR compensators. A novel inner-loop damping formulation, based upon the second method of Lyapunov, is developed and implemented to damp the beam resonant response beyond the LQG/LTR control bandwidth.

Citation Download Citation

Shawn Edward Burke and James E. Hubbard Jr. "Closed-loop dynamic shape control of a flexible beam", Proc. SPIE 1303, Advances in Optical Structure Systems, (1 October 1990); https://doi.org/10.1117/12.21515

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available